<html>
<head>
	<meta charset="UTF-8">
	<meta content="IE=edge" http-equiv="X-UA-Compatible">
	<meta content="initial-scale=1.0, maximum-scale=1.0, user-scalable=no, width=device-width" name="viewport">
	<title>2699：更新</title>
	<!-- css -->
	<link href="../css/base.min.css" rel="stylesheet">
	<link href="../css/project.min.css" rel="stylesheet">
	
	<!-- favicon -->
	<!-- ... -->
</head>
<body class="page-brand">
	<header class="header header-transparent header-waterfall ui-header">
		<ul class="nav nav-list pull-left">
			<li>
				<a data-toggle="menu" href="#menu">
					<span class="icon icon-lg">menu</span>
				</a>
			</li>
		</ul>
		<a class="header-logo header-affix-hide margin-left-no margin-right-no" data-offset-top="213" data-spy="affix">更新</a>
		<span class="header-logo header-affix margin-left-no margin-right-no" data-offset-top="213" data-spy="affix">更新</span>
	</header>
	<nav aria-hidden="true" class="menu" id="menu" tabindex="-1">
		<div class="menu-scroll">
			<div class="menu-content">
				<a class="menu-logo" href="../index.html">BZOJ离线题库</a>
				<ul class="nav">
					<li>
						<a class="waves-attach" data-toggle="collapse" href="#problems">题目</a>
						<ul class="menu-collapse collapse in" id="problems">
							<li>
								<a class="waves-attach" href="../index.html">主页</a>
							</li>
							<li>
								<a class="waves-attach" href="../list.html">题目列表</a>
							</li>
						</ul>
					</li>
					<li>
						<a class="collapsed waves-attach" data-toggle="collapse" href="#about">关于</a>
						<ul class="menu-collapse collapse" id="about">
							<li>
								<a class="waves-attach" href="../about.html">关于此项目</a>
							</li>
						</ul>
					</li>
					
				</ul>
			</div>
		</div>
	</nav>
	<main class="content">
		<div class="content-header ui-content-header">
			<div class="container">
				<h1 class="content-heading">
                更新                </h1>
                <p>时间限制：10s&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;  空间限制：128MB</p>			</div>
		</div>
		<div class="container">
			<section class="content-inner margin-top-no">
				<div class="row">
					<div class="col-lg-13 col-md-13">
						<div class="card margin-bottom-no">
							<div class="card-main">
								<div class="card-inner">
									
                                <h3>题目描述</h3><p><div><span style="font-size: medium">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 对于一个数列A[1..N]，一种寻找最大值的方法是：依次枚举A[2]到A[N]，如果A[i]比当前的A[1]值要大，那么就令A[1]=A[i]，最后A[1]为所求最大值。假设所有数都在范围[1, K]内，按上面的步骤执行，有多少个长度N的数列满足A[1]被更新的次数恰好为P呢？</span></div>
<div><span style="font-size: medium">&nbsp;</span></div></p><hr/><h3>输入格式</h3><p><div><span style="font-size: medium">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 本题有多组数据。输入第一行一个数T为数据组数，下面T行每行依次三个数N、K和P。</span></div></p><hr/><h3>输出格式</h3><p><div><span style="font-size: medium">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 对每组数据输出一行，为方案数模1000000007的值。</span></div>
<div><span style="font-size: medium">&nbsp;</span></div>
<p>
<table cellspacing="0" cellpadding="0" border="1" style="border-right: medium none; border-top: medium none; border-left: medium none; border-bottom: medium none; border-collapse: collapse">
    <tbody>
        <tr>
            <td valign="top" width="164" style="border-right: black 1pt solid; padding-right: 5.4pt; border-top: black 1pt solid; padding-left: 5.4pt; padding-bottom: 0cm; border-left: black 1pt solid; width: 123.2pt; padding-top: 0cm; border-bottom: black 1pt solid; background-color: transparent">
            <div><span style="font-size: medium">输入</span></div>
            </td>
            <td valign="top" width="164" style="border-right: black 1pt solid; padding-right: 5.4pt; border-top: black 1pt solid; padding-left: 5.4pt; padding-bottom: 0cm; border-left: #ece9d8; width: 123.2pt; padding-top: 0cm; border-bottom: black 1pt solid; background-color: transparent">
            <div><span style="font-size: medium">输出</span></div>
            </td>
            <td valign="top" width="240" style="border-right: black 1pt solid; padding-right: 5.4pt; border-top: black 1pt solid; padding-left: 5.4pt; padding-bottom: 0cm; border-left: #ece9d8; width: 179.7pt; padding-top: 0cm; border-bottom: black 1pt solid; background-color: transparent">
            <div><span style="font-size: medium">解释</span></div>
            </td>
        </tr>
        <tr>
            <td valign="top" width="164" style="border-right: black 1pt solid; padding-right: 5.4pt; border-top: #ece9d8; padding-left: 5.4pt; padding-bottom: 0cm; border-left: black 1pt solid; width: 123.2pt; padding-top: 0cm; border-bottom: black 1pt solid; background-color: transparent">
            <div><span style="font-size: medium">3</span></div>
            <div><span style="font-size: medium">4 3 2</span></div>
            <div><span style="font-size: medium">2 3 1</span></div>
            <div><span style="font-size: medium">3 4 1</span></div>
            </td>
            <td valign="top" width="164" style="border-right: black 1pt solid; padding-right: 5.4pt; border-top: #ece9d8; padding-left: 5.4pt; padding-bottom: 0cm; border-left: #ece9d8; width: 123.2pt; padding-top: 0cm; border-bottom: black 1pt solid; background-color: transparent">
            <div><span style="font-size: medium">6</span></div>
            <div><span style="font-size: medium">3</span></div>
            <div><span style="font-size: medium">30</span></div>
            </td>
            <td valign="top" width="240" style="border-right: black 1pt solid; padding-right: 5.4pt; border-top: #ece9d8; padding-left: 5.4pt; padding-bottom: 0cm; border-left: #ece9d8; width: 179.7pt; padding-top: 0cm; border-bottom: black 1pt solid; background-color: transparent">
            <div><span style="font-size: medium">对第一组数据N=4, K=3, P=2, 所有满足的序列有下面六种：</span></div>
            <div><span style="font-size: medium">1) {1,1,2,3}&nbsp;&nbsp; 2) {1,2,1,3}</span></div>
            <div><span style="font-size: medium">3) {1,2,2,3}&nbsp;&nbsp; 4) {1,2,3,1}</span></div>
            <div><span style="font-size: medium">5) {1,2,3,2}&nbsp;&nbsp; 6) {1,2,3,3}</span></div>
            </td>
        </tr>
    </tbody>
</table>
</p>
<div><span style="font-size: medium">&nbsp;</span></div>
<div style="margin: 12pt 0cm 3pt"><span style="font-size: medium"><b>数据范围</b></span></div>
<div><span style="font-size: medium">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 前20%的数据满足T &le; 5</span></div>
<div style="text-indent: 21pt"><span style="font-size: medium">前50%的数据满足1 &le; N &le; 50，1 &le; K &le; 100</span></div>
<div><span style="font-size: medium">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 对100%的数据，T &le; 1000，1 &le; N &le; 150，0 &le; P &lt; N，1 &le; K &le; 300</span></div></p><hr/><h3>样例输入</h3><pre></pre><hr/><h3>样例输出</h3><pre></pre><hr/><h3>提示</h3><p>没有写明提示</p><hr/><h3>题目来源</h3><p>没有写明来源</p>
								</div>
							</div>
						</div>
					</div>
				</div>
				
				
			</section>
		</div>
	</main>

	<div class="fbtn-container">
		<div class="fbtn-inner">
			<a class="fbtn fbtn-lg fbtn-brand-accent waves-attach waves-circle waves-light waves-effect" data-toggle="dropdown" aria-expanded="true"><span class="fbtn-text fbtn-text-left">Menu</span><span class="fbtn-ori icon">apps</span><span class="fbtn-sub icon">close</span></a>
			<div class="fbtn-dropup">
				<a class="fbtn fbtn-brand waves-attach waves-circle waves-light waves-effect" href="../list.html" target="_self"><span class="fbtn-text fbtn-text-left">题目列表</span><span class="icon">menu</span></a>
				<a class="fbtn fbtn-green waves-attach waves-circle waves-effect" href="../index.html" target="_self"><span class="fbtn-text fbtn-text-left">返回主页</span><span class="icon">home</span></a>
				<a class="fbtn waves-attach waves-circle waves-effect" href="http://www.lydsy.com/JudgeOnline/submitpage.php?id=2699" target="_blank"><span class="fbtn-text fbtn-text-left">提交代码</span><span class="icon">send</span></a>
				<a class="fbtn fbtn-orange waves-attach waves-circle waves-effect" href="http://www.lydsy.com/JudgeOnline/wttl/wttl.php?pid=2699" target="_blank"><span class="fbtn-text fbtn-text-left">试题讨论</span><span class="icon">chat</span></a>
				
			</div>
		</div>
	</div>

	<!-- js -->
	<script src="../js/jquery.min.js"></script>
	<script src="../js/base.min.js"></script>
	<script src="../js/project.min.js"></script>
</body>
</html>